Analysis of cable structures through energy minimization

Yusuf Cengiz Toklu , Gebrail Bekdaş , Rasim Temur

Abstract

In structural mechanics, traditional analyses methods usually employ matrix operations for obtaining displacement and internal forces of the structure under the external effects, such as distributed loads, earthquake or wind excitations, and temperature changing inter alia. These matrices are derived from the well-known principle of mechanics called minimum potential energy. According to this principle, a system can be in the equilibrium state only in case when the total potential energy of system is minimum. A close examination of the expression of the well-known equilibrium condition for linear problems, P=K

Key Words

cable structures; TPO/MA method; minimum potential energy; structural analyses; geometric nonlinearity; metaheuristic algorithms; harmony search

Address

Yusuf Cengiz Toklu: Department of Civil Engineering, Okan University, Turkey Gebrail Bekdas and Rasim Temur: Department of Civil Engineering, Istanbul University, Turkey

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